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4. Consider a heat engine based on the Stirling cycle. Pressure Vs Volume V2 Steps 1-2...
PA AQi T =Th AQ19 2 4 3 AQout T= Te V Figure 1: Pressure-volume diagram of the Stirling cycle. (a) A Stirling cycle consists of two isothermal processes and two isochoricprocesses as shown in Fig. J. The hot reservoir is at temperature T and the cold-reservoir AS at temperaturé T)You may assume that the working fluid is anideal gas with Llegrees of freedom. The compression ratio V2/Vi)i.e. the ratio of the volume of the gas at state 2 to...
Consider a monoatomic ideal gas undergoing the following cycle: starting point (a), pressure increases at a constant volume reaching point (b), then the gas expands adiabatically until pressure reaches the initial value (point c), and then the gas is compressed at a constant pressure until the volume reaches the initial value back to point (a). The amount of gas is 1 mole. Monoatomic gas means it has only 3 degrees of freedom and the adiabatic constant gamma is 5/3. Sketch...
4. The pressure-volume diagram below shows a special reversible cycle called the Carnot cycle A mole of an ideal gas starts off in state 1 in contact with a large thermal reservoir at temperature Th. The gas then undergoes an isothermal expansion from Vi to V2. Upon reaching state 2, the gas container is removed from contact with the thermal reservoir and covered with thermal insulation. Next the gas is allowed to expand adiabatically from V2to Vs. Because the expansion...
1. (15 points) Consider a Stirling Engine with the following parameters Working gas Isothermal compression temperature T Isothermal expansion temperature TE Vi Air 80°C 400 °C 650 cm 550 cm3 1000 kPa P1 Operating frequenc Using properties of air at 500K, determine (a) the mass of working gas used in the cycle, (b) the net work done per cycle (in kJ), (c) the net power output produced (in kW), (d) the external heat delivered to the expansion space QE during...
3. (20 pts) In the Carnot engine (refer to the figure in question 2), an ideal gas undergoes a cycle of isothermal expansion (A → B), adiabatic expansion (B → C), isothermal compression (C → D), and adiabatic compression (D → A). All processes are assumed to be reversible. The volumes at the points are given that 2VA=VB and VC=2VD. Th is 650 °C and Tc is 30 °C. (1) Calculate the amount of heat added to one mole gas...
Physical Chemistry
rating based in correction please
Consider a Carnot cycle in which the working substance is 0.10 mol of perfect gas molecules, the temperature of the hot source is 373 K, that of the cold sink is 273 K; the initial volume of gas is 1.00 dm', which doubles over the course of the first isothermal stage. For the reversible adiabatic stages it may be assumed that VT3/2 = constant. a) calculate the volume of the gas Vs and...
11. A reversible heat engine uses a three-step cycle consisting of an isothermal expansion at temperature Ti, a constant volume cooling to temperature T2, and adiabatic compression back to the initial state. (a) Sketch the P-V diagram (b) If 1 mole of a van der Waals gas is used the working material, the efficiency of this engine is defined to be E = Suppose that the heat capacity of gas is independent of temperature. Show that the efficiency of the...
A heat engine takes 0.262 mol of a diatomic deal gas around the cycle shown in the pV-diagram below. Process 1 → 2 is at constant volume, process 2-) 3 is adiabatic, and process 3-1 is at a constant pressure of P = 2.00 atm. The value of r for this gas is 1.4 2,7-600K T,-300 K T, 492 K 0 (a) Find the pressure and volume at points 1, 2, and 3. pressure (Pa) volume (m3) point 1 point...
5. The steps of a reversible Stirling engine are as follows. For this problem, we will use 0.001 mol of a monatomic gas that starts at a temperature of 133°C and a volume of 0.1 m3, which will be called point A. Then it goes through the following steps: 1. STEP AB: isothermal expansion at 133o from 0.1 m3 to 0.2 m3 2. STEP BC: isochoric cooling to 33°C 3. STEP CD: isothermal compression at 33°C from 0.2 m3 to...
2. Isochoric/Adiabatic/Isobaric Cycle (10 pts) A heat engine using a monatomic gas follows the cycle shown in the PV diagram to the right. Between stages 1 and 2 the gas is at a constant volume, and between 2 and 3 no heat is transferred in or out, between 3 and 1 the pressure is held constant (a) For each stage of this process, calculate in Joules the heat, Q, transferred to the gas, and the work, W, done by the...